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Finding the Fourth Proportional to 180,400.51, 270,906.95 and 156,737.17

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Solution

The fourth proportional to 180,400.51, 270,906.95 and 156,737.17 is: 235,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,400.51 : 270,906.95 = 156,737.17 : x
  2. Step 2: Convert to fraction form
    180,400.51/270,906.95 = 156,737.17/x
  3. Step 3: Cross multiply
    180,400.51x = 270,906.95 × 156,737.17
  4. Step 4: Simplify right side
    180,400.51x = 42,461,188,676.33
  5. Step 5: Solve for x
    x = 42,461,188,676.33/180,400.51
  6. Step 6: Final answer
    x = 235,371.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.